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video { max-width: 100%; display: block; margin: 0px auto; }
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/* 字体引入：鸿蒙字体 */

html {
  font-size: 16px;
  font-family: "HarmonyOS_Sans_SC";
}

/* 打印页面设置 */

@media print {
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    -webkit-print-color-adjust: exact; /*确保打印颜色一致*/
    print-color-adjust: exact;
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  body {
    width: 21cm; /* 设置页面宽度为A4宽度 */
    height: 29.7cm; /* 设置页面高度为A4高度 */
    margin: 1cm; /* 设置页面边距 */
  }
  p {
    line-height: 1.5rem; /*设置打印内容的行高*/
  }
  ol,ul,figure,pre {  /*设置一些元素不会被分页截断对应有序列表、无序列表、图片(表格)、代码块*/
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    break-inside: avoid;
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}

/* 软件内部Markdown样式 */
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/* 二级标题 */
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/* 三级标题 */
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/* 三级标题内容 */
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/* 任务列表样式 */
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  border-radius: 30%;
  font-size: 0.75rem;
  line-height: 0.8rem;
}

#write input[type="checkbox"] {
  position: absolute;
  top: 7px;
  left: -3px;
}

#write .md-task-list-item p {
  margin: 0px 1.8rem;
}

/* 引用 */

#write blockquote {
  margin-left: 12px;
  padding: 12px;
  border: 1px solid var(--element-color);
  border-left-color: var(--element-color);
  border-left-width: 4px;
  border-radius: 4px;
  line-height: 26px;
}

#write blockquote p {
  color: #000;
}

/* 超链接 */
#write a {
  color: #000;
}

#write a:visited {
  color: var(--element-color-deep);
}

#write a:not(.md-toc-inner) {
  font-weight: bolder;
  text-decoration: none;
  transform: all linear 0.1s;
}

#write a:hover:not(.md-toc-inner) {
  font-weight: bold;
  color: var(--element-color-deep);
  border-bottom: 1px solid var(--element-color-deep);
  transform: all linear 0.1s;
}

#write p a:not(.md-toc-inner)::before {
  content: url("data:image/svg+xml;charset=utf-8,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 1024 1024'%3E%3Cpath  d='M477.934459 330.486594A50.844091 50.844091 0 0 1 406.752731 258.796425L512 152.532274a254.220457 254.220457 0 0 1 359.467726 359.467726L762.66137 618.772592a50.844091 50.844091 0 1 1-71.690168-71.690169l106.772591-106.772592a152.532274 152.532274 0 0 0-215.578947-215.578947z m70.164846 361.501489A50.844091 50.844091 0 1 1 619.789474 762.66137l-107.281033 107.281033A254.220457 254.220457 0 0 1 152.532274 512L259.813307 406.752731a50.844091 50.844091 0 1 1 72.19861 69.656405l-107.789474 107.281033a152.532274 152.532274 0 0 0 215.578947 215.578947z m-126.601788-16.77855a50.844091 50.844091 0 1 1-71.690168-71.690169l251.678252-251.678252a50.844091 50.844091 0 0 1 71.690169 71.690169z'/%3E%3C/svg%3E");
  color: #f68800;
  display: inline-block;
  width: 1em;
  height: 1em;
  margin-right: 0.2em;
  vertical-align: sub;
}

#write a.md-toc-inner:hover {
  color: var(--element-color-deep);
  font-weight: 700;
  text-decoration: none;
}

#write sup a::before {
  content: none;
}

/* 加粗 */
#write strong {
  color: #000;
  font-weight: bold;
}

/* 斜体 */
#write em {
  font-style: italic;
  color: #000;
}
/* 高亮 */
#write mark {
  font-weight: bolder;
  color: #000;
  background: var(--element-color-so-shallow);
}

/* 删除线 */
#write del {
  text-decoration-color: var(--element-color-deep);
}

/* 分隔线*/
#write hr {
  height: 1px;
  padding: 0;
  border: none;
  border-top: 2px solid var(--head-title-color);
}

/* 图片*/
#write img {
  border-radius: 6px;
  display: block;
  margin: 20px auto;
  object-fit: contain;
}

/* 图片描述文字 */
#write figcaption {
  display: block;
  font-size: 13px;
  color: #595959;
}

/* Yaml */
pre.md-meta-block {
  padding: 8px 15px;
  border: 2px dotted var(--element-color);
  background-color: var(--element-color-soo-shallow);
}

/* 行内代码 */
#write p code {
  padding: 0px 3px 0px 7px;
  color: var(--element-color-linecode);
  background: var(--element-color-linecode-background);
  border-radius: 3px;
  font-family: Operator Mono, Consolas, Monaco, Menlo, monospace;
  letter-spacing: 0.5px;
}

#write li code {
  color: var(--element-color-linecode);
}

/* 代码块 */
.md-fences:not([lang="mermaid"])::before {
  content: attr(lang);
  text-align: right;
  padding-right: 15px;
  color: #7e7e7e;
  display: block;
  background: url();
  height: 30px;
  width: 100%;
  background-size: 40px;
  background-repeat: no-repeat;
  background-color: #f8f8f8;
  border-radius: 5px 5px 0 0;
  background-position: 6px 10px;
}

.CodeMirror-wrap .CodeMirror-scroll {
  overflow-x: auto;
}

.md-fences .cm-s-inner.CodeMirror {
  margin-top: -0.5rem;
}

.cm-s-inner.CodeMirror {
  padding: 1.2rem 0.8rem;
  color: #4f5467;
  font-family: "JetBrainsMono";
  border-radius: 10px;
  background-color: #fa0303;
  /* border: 1px solid #eef2f5;*/
  line-height: 1.6rem;
}

.CodeMirror-gutters {
  border-right: 1px solid #9d9d9d52;
  background: inherit;
  white-space: nowrap;
}

pre.CodeMirror-line {
  padding: 0 1.2rem;
}

.CodeMirror-linenumber {
  padding: 0 3px 0 5px;
  text-align: right;
  color: #a3a3a3;
}

.cm-s-inner.CodeMirror {
  background: #f8f8f8;
  border-radius: 0 0 5px 5px;
  padding: 20px 10px 20px 10px;
  page-break-before: auto;
  line-height: 1.8rem;
}

.md-rawblock .md-rawblock-tooltip {
  inset: auto 0.3rem auto auto;
  transform: translateY(-120%);
}

/* 代码块颜色 */
.cm-keyword {
  color: #a626a4 !important;
  font-weight: 700 !important;
}

.cm-variable {
  color: #b92121 !important;
}

.cm-tag {
  color: var(--color-cm-keyword) !important;
  font-weight: 700 !important;
}

.cm-variable-3,
.cm-variable-2 {
  color: #7aadad !important;
  font-weight: 700 !important;
}

.cm-def {
  color: #c18401 !important;
}

.cm-attribute {
  color: #8f6aa8 !important;
}

.cm-comment,
.md-comment,
.md-meta {
  color: #9a9a9a !important;
}

.cm-string {
  color: #50a14f !important;
  font-variant-ligatures: common-ligatures !important;
}

.cm-link {
  color: #e46918 !important;
}

.cm-type {
  color: #626161;
}

.cm-property {
  color: #800a84 !important;
}

.cm-tag:not(.cm-bracket) {
  font-weight: 700;
}

.cm-operator {
  color: #0abe00 !important;
}

.cm-number {
  color: #1694b6 !important;
}

.cm-meta {
  color: #4078f2 !important;
  font-weight: 700 !important;
}

.cm-builtin {
  color: #fa6060 !important;
}

/** 表格内的单元格*/
#write table tr th,
#write table tr td {
  font-size: 14px;
  color: #000;
}

#write .footnotes {
  padding: 10px;
  font-size: 14px;
  border-radius: 6px;
  border: 0.8px solid var(--element-color-deep);
}

#write table.md-table {
  overflow: hidden;
}
#write table thead {
  border-top: 1px solid #dedddd;
  border-bottom: 1px solid #dedddd;
}
#write table tbody {
  border-bottom: 1px solid #dedddd;
}

/* 脚注文字 */
#write .footnote-word {
  font-weight: normal;
  color: #595959;
}

/* 脚注上标 */
#write .footnote-ref {
  font-weight: normal;
  color: #595959;
}

/*脚注链接样式*/
#write .footnote-item em {
  font-size: 14px;
  color: #595959;
  display: block;
  background: none;
}

/* 目录 */

.md-toc * {
  font-family: "HarmonyOS_Sans_SC";
}
.md-tooltip-hide > span {
  display: none;
}
.md-toc:before {
  position: relative;
  display: inline-block;
  width: 100%;
  text-align: center;
  content: "目录";
  font-size: 20px;
  font-weight: 700;
  color: #000;
}
.md-toc {
  padding: 20px 0;
  margin: 0 20px;
  background-color: var(--element-color-soo-shallow);
  border: 2px solid var(--element-color);
  border-radius: 5px;
}
.md-toc-item {
  line-height: 1.8em;
  display: block;
  color: #333;
}

/* 程序UI */

/* 侧边栏 */

#typora-sidebar {
  height: 100%;
  color: var(--appui-color-text);
  font-size: 0.92rem;
  background-color: #fff;
}

/* 滑块 */

#outline-content::-webkit-scrollbar {
  width: 5px;
}

#file-library::-webkit-scrollbar {
  width:5px;
}

::-webkit-scrollbar-track {
  border-radius: 10px;
}

::-webkit-scrollbar-thumb {
  border-radius: 10px;
  background: rgba(179, 179, 179, 0.425);
}

::-webkit-scrollbar {
  width: 5px;
}

/* 侧边栏 文件 */

.active-tab-files #info-panel-tab-file .info-panel-tab-border,
.active-tab-outline #info-panel-tab-outline .info-panel-tab-border,
.ty-show-search #info-panel-tab-search .info-panel-tab-border {
  border-radius: 10px;
  height: 4px;
  background-color: var(--appui-color);
}

.file-node-content {
  line-height: 1.2rem;
}

.file-tree-node.active > .file-node-content {
  color: var(--appui-color);
}

span.file-node-title {
  color: var(--appui-color-text);
}

.file-node-icon {
  color: var(--appui-color-icon);
  padding-right: 0.2rem;
}

.file-tree-node.active > .file-node-background {
  font-weight: bolder;
  border-left: 4px solid var(--appui-color);
  border-color: var(--appui-color);
}

.info-panel-tab-title {
  font-weight: bolder;
  color: var(--appui-color-text);
}

/* 侧边栏 搜索 */

#file-library-search-panel {
  background-color: #fff;
}

#file-library-search-input {
  border-radius: 3px;
  border-color: var(--appui-color);
}
#file-library-search-input:focus {
  border-width: 2px;
}

/* 侧边栏 大纲 */
#outline-content .outline-h1 > .outline-item {
  font-size: larger;
  font-weight: bold;
  color: var(--element-color-deep);
}

#outline-content .outline-h1:not(:first-of-type) > .outline-item {
  margin-top: 10px;
}

#outline-content .outline-h2 > .outline-item::before {
  content: "";
  width: 12px;
  height: 12px;
  background: var(--element-color);
  vertical-align: middle;
  float: left;
  margin-top: -2px;
  margin-right: 11px;
  margin-left: -24px;
  border-radius: 100%;
  border: 3px solid #fff;
  z-index: 100;
  position: relative;
  top: 8px;
  left: 8px;
}

#outline-content .outline-h2::after {
  content: "";
  height: calc(100% - 24px);
  width: 1px;
  background: var(--element-color);
  position: absolute;
  left: 3px;
  top: 21px;
}

#outline-content .outline-h2 > .outline-item:last-child:after {
  display: none;
}

#outline-content .outline-h2 > .outline-item > .outline-label {
  line-height: 1.65rem;
  margin: 0;
}
#outline-content .outline-h2 > .outline-item {
  margin-bottom: -3px;
}

#outline-content .outline-h3 > .outline-item > .outline-label {
  border-left: 2px solid var(--element-color);
  padding-left: 8px;
}

.outline-item-active:not(.outline-item-wrapper)::after {
  content: "";
  position: relative;
  width: 11px;
  height: 8px;
  background: var(--element-color-deep);
  float: right;
  top: -12px;
  z-index: 100;
  border-radius: 40% 20% 20% 40%;
}

/* 导出HTML的样式 */
body.typora-export {
  padding-left: 0px;
}
.typora-export-content .outline-content::before {
  content: "目录";
  font-size: 20px;
  font-weight: bold;
  position: absolute;
  top: 22px;
  left: 15px;
  border-radius: 5px;
  box-sizing: border-box;
  z-index: -1;
}

.typora-export-sidebar .outline-content {
  height: 100%;
  padding-left: 15px;
  border-right: 1px solid #d2d2d2;
}

.typora-export-content .typora-export-content {
  padding-left: 0px;
}

.typora-export-content .outline-expander {
  width: 0;
}

.typora-export-content .outline-item-active > .outline-item::after {
  content: "";
  position: relative;
  width: 11px;
  height: 8px;
  background: var(--element-color-deep);
  float: right;
  right: 5px;
  top: -14px;
  z-index: 100;
  border-radius: 40% 20% 20% 40%;
}
.typora-export-content .outline-label {
  max-width: 250px;
  white-space: nowrap;
  overflow: hidden;
  text-overflow: ellipsis;
}

.outline-content .outline-h1 > .outline-item {
  font-size: larger;
  font-weight: bold;
  color: var(--element-color-deep);
}

.outline-content .outline-h1:not(:first-of-type) > .outline-item {
  margin-top: 10px;
}

.outline-content .outline-h2 > .outline-item::before {
  content: "";
  width: 12px;
  height: 12px;
  background: var(--element-color-deep);
  vertical-align: middle;
  float: left;
  margin-top: -2px;
  margin-right: 11px;
  margin-left: -24px;
  border-radius: 100%;
  border: 3px solid #fff;
  z-index: 100;
  position: relative;
  top: 8px;
  left: 8px;
}

.outline-content .outline-h2::after {
  content: "";
  height: calc(100% - 24px);
  width: 1px;
  background: var(--element-color);
  position: absolute;
  left: 3px;
  top: 21px;
}

.outline-content .outline-h2 > .outline-item:last-child:after {
  display: none;
}

.outline-content .outline-h2 > .outline-item > .outline-label {
  line-height: 1.65rem;
  margin: 0;
}
.outline-content .outline-h2 > .outline-item {
  margin-bottom: -3px;
}

.outline-content .outline-h3 > .outline-item > .outline-label {
  border-left: 2px solid var(--element-color);
  padding-left: 8px;
}
@import url();

:root {
  /* 标题后小图标，借鉴自思源笔记主题——Savor */
  --h1-r-graphic: url("data:image/svg+xml;utf8,<svg fill='rgba(235, 131, 131, 0.4)' height='24' viewBox='0 0 32 32' width='24' xmlns='http://www.w3.org/2000/svg'><path d='M4.8 29.714v0c-1.371 0-2.514-1.143-2.514-2.514v0c0-1.371 1.143-2.514 2.514-2.514v0c1.371 0 2.514 1.143 2.514 2.514v0c0.114 1.371-1.029 2.514-2.514 2.514z'/></svg>")
    no-repeat center;
  --h2-r-graphic: url("data:image/svg+xml;utf8,<svg fill='rgba(174, 154, 203, 0.5)' height='24' viewBox='0 0 32 32' width='24' xmlns='http://www.w3.org/2000/svg'><path d='M11.429 25.143c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM4.571 18.286c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286z'/></svg>")
    no-repeat center;
  --h3-r-graphic: url("data:image/svg+xml;utf8,<svg fill='rgba(125, 181, 205, 0.5)' height='28' viewBox='0 0 32 32' width='24' xmlns='http://www.w3.org/2000/svg'><path d='M4.571 25.143c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM4.571 18.286c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM11.429 25.143c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286z'/></svg>")
    no-repeat center;
  --h4-r-graphic: url("data:image/svg+xml;utf8,<svg fill='rgba(113, 167, 150, 0.5)' height='24' viewBox='0 0 32 32' width='24' xmlns='http://www.w3.org/2000/svg'><path d='M4.571 25.143c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM4.571 18.286c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM11.429 25.143c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM11.429 22.857c1.257 0 2.286-1.029 2.286-2.286s-1.029-2.286-2.286-2.286-2.286 1.029-2.286 2.286 1.029 2.286 2.286 2.286z'/></svg>")
    no-repeat center;
  --h5-r-graphic: url("data:image/svg+xml;utf8,<svg fill='rgba(220, 191, 97, 0.5)' height='24' viewBox='0 0 32 32' width='24' xmlns='http://www.w3.org/2000/svg'><path d='M4.571 18.286c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM11.429 22.857c1.257 0 2.286-1.029 2.286-2.286s-1.029-2.286-2.286-2.286-2.286 1.029-2.286 2.286 1.029 2.286 2.286 2.286zM4.571 25.143c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM11.429 25.143c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM4.571 11.429c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286z'/></svg>")
    no-repeat center;
  --h6-r-graphic: url("data:image/svg+xml;utf8,<svg fill='rgba(221, 163, 106, 0.5)' height='24' viewBox='0 0 32 32' width='24' xmlns='http://www.w3.org/2000/svg'><path d='M4.571 25.143c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM4.571 18.286c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM4.571 11.429c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM11.429 18.286c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM11.429 25.143c-1.257 0-2.286 1.029-2.286 2.286s1.029 2.286 2.286 2.286 2.286-1.029 2.286-2.286-1.029-2.286-2.286-2.286zM11.429 16c1.257 0 2.286-1.029 2.286-2.286s-1.029-2.286-2.286-2.286-2.286 1.029-2.286 2.286 1.029 2.286 2.286 2.286z'/></svg>")
    no-repeat center;

  /* 主题颜色 */

  --head-title-color: #ffc000; /* 标题主色 */
  --head-title-h2-background: linear-gradient(to right, #f7ce68, #fbabfe); /* 二级标题主色，因为二级标题是背景色的，所以单独设置 */

  --element-color: #FB9500; /* 元素主色 */
  --element-color-deep: #FB9500; /* 元素深色 */
  --element-color-shallow: #fbcf4b; /* 元素浅色 */
  --element-color-so-shallow: #fb970069; /* 元素很浅色 */
  --element-color-soo-shallow: #fffaf4; /* 元素非常浅色 */

  --element-color-linecode: #dc3545; /* 行内代码文字色 */
  --element-color-linecode-background: #ffe7e7; /* 行内代码背景色 */

  /* 程序本体UI */

  --appui-color: #546f99; /* 程序UI主题色 */
  --appui-color-icon: #374966; /* 程序UI图标颜色 */
  --appui-color-text: #374966; /* 程序UI文字色 */
}



mjx-container[jax="SVG"] {
  direction: ltr;
}

mjx-container[jax="SVG"] > svg {
  overflow: visible;
  min-height: 1px;
  min-width: 1px;
}

mjx-container[jax="SVG"] > svg a {
  fill: blue;
  stroke: blue;
}

mjx-assistive-mml {
  position: absolute !important;
  top: 0px;
  left: 0px;
  clip: rect(1px, 1px, 1px, 1px);
  padding: 1px 0px 0px 0px !important;
  border: 0px !important;
  display: block !important;
  width: auto !important;
  overflow: hidden !important;
  -webkit-touch-callout: none;
  -webkit-user-select: none;
  -khtml-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
}

mjx-assistive-mml[display="block"] {
  width: 100% !important;
}

mjx-container[jax="SVG"][display="true"] {
  display: block;
  text-align: center;
  margin: 1em 0;
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</style><title>动量守恒中的弹簧小球模型与滑块斜面模型</title>
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<div class="typora-export-sidebar"><div class="outline-content"><li class="outline-item-wrapper outline-h1"><div class="outline-item"><span class="outline-expander"></span><a class="outline-label" href="#动量守恒中的弹簧小球模型与滑块斜面模型">动量守恒中的弹簧小球模型与滑块斜面模型</a></div><ul class="outline-children"><li class="outline-item-wrapper outline-h2"><div class="outline-item"><span class="outline-expander"></span><a class="outline-label" href="#弹簧-小球模型">弹簧-小球模型</a></div><ul class="outline-children"></ul></li><li class="outline-item-wrapper outline-h2"><div class="outline-item"><span class="outline-expander"></span><a class="outline-label" href="#滑块-光滑斜面模型">滑块-光滑斜面模型</a></div><ul class="outline-children"></ul></li></ul></li></div></div><div id='write'  class=''><h1 id='动量守恒中的弹簧小球模型与滑块斜面模型'><span>动量守恒中的弹簧小球模型与滑块斜面模型</span></h1><h2 id='弹簧-小球模型'><span>弹簧-小球模型</span></h2><p><strong><span>利用演示程序，在 </span><mjx-container class="MathJax" jax="SVG" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" 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405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path><path id="MJX-8-TEX-N-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path id="MJX-8-TEX-N-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path><path id="MJX-8-TEX-N-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 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345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path><path id="MJX-9-TEX-N-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path id="MJX-9-TEX-N-3E" d="M84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520Z"></path><path id="MJX-9-TEX-N-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><use data-c="1D45A" xlink:href="#MJX-9-TEX-I-1D45A"></use></g><g data-mml-node="mn" transform="translate(911,-150) scale(0.707)"><use data-c="31" xlink:href="#MJX-9-TEX-N-31"></use></g></g><g data-mml-node="mo" transform="translate(1592.3,0)"><use data-c="3E" xlink:href="#MJX-9-TEX-N-3E"></use></g><g data-mml-node="msub" transform="translate(2648.1,0)"><g data-mml-node="mi"><use data-c="1D45A" xlink:href="#MJX-9-TEX-I-1D45A"></use></g><g data-mml-node="mn" transform="translate(911,-150) scale(0.707)"><use data-c="32" xlink:href="#MJX-9-TEX-N-32"></use></g></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mn>1</mn></msub><mo>&gt;</mo><msub><mi>m</mi><mn>2</mn></msub></math></mjx-assistive-mml></mjx-container><script type="math/tex">m_1>m_2</script><span>、</span><mjx-container class="MathJax" jax="SVG" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="8.965ex" height="1.561ex" role="img" focusable="false" viewBox="0 -540 3962.7 690" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.339ex;"><defs><path id="MJX-10-TEX-I-1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path><path id="MJX-10-TEX-N-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path id="MJX-10-TEX-N-3C" d="M694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19Z"></path><path id="MJX-10-TEX-N-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><use data-c="1D45A" xlink:href="#MJX-10-TEX-I-1D45A"></use></g><g data-mml-node="mn" transform="translate(911,-150) scale(0.707)"><use data-c="31" xlink:href="#MJX-10-TEX-N-31"></use></g></g><g data-mml-node="mo" transform="translate(1592.3,0)"><use data-c="3C" xlink:href="#MJX-10-TEX-N-3C"></use></g><g data-mml-node="msub" transform="translate(2648.1,0)"><g data-mml-node="mi"><use data-c="1D45A" xlink:href="#MJX-10-TEX-I-1D45A"></use></g><g data-mml-node="mn" transform="translate(911,-150) scale(0.707)"><use data-c="32" xlink:href="#MJX-10-TEX-N-32"></use></g></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mn>1</mn></msub><mo>&lt;</mo><msub><mi>m</mi><mn>2</mn></msub></math></mjx-assistive-mml></mjx-container><script type="math/tex">m_1<m_2</script><span> 时，分析下面的问题：</span></strong></p><ol start='' ><li><p><span>刚开始的时候，两小球速度什么关系？怎么变化？弹簧长度如何变化？</span></p></li><li><p><span>第一次共速的时候，弹簧长度如何？接下来两小球速度如何变化？</span>
<mark><span>从 1 状态到此状态满足什么规律？</span></mark></p></li><li><p><span>第一次恢复原长的时候，两小球速度是多少？</span><mjx-container class="MathJax" jax="SVG" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="2.974ex" height="1.339ex" role="img" focusable="false" viewBox="0 -442 1314.6 592" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.339ex;"><defs><path id="MJX-11-TEX-I-1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path><path id="MJX-11-TEX-N-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><use data-c="1D45A" xlink:href="#MJX-11-TEX-I-1D45A"></use></g><g data-mml-node="mn" transform="translate(911,-150) scale(0.707)"><use data-c="31" xlink:href="#MJX-11-TEX-N-31"></use></g></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mn>1</mn></msub></math></mjx-assistive-mml></mjx-container><script type="math/tex">m_1</script><span> 的运动方向与什么有关？</span>
<span>此时的状态和最开始相同吗？</span>
<mark><span>从 1 状态到此状态满足什么规律？</span></mark></p></li><li><p><span>第二次共速的时候，弹簧长度如何？此速度和状态 2 相同吗？接下来小球怎么运动？</span></p><p><mark><span>从 1 状态到此状态满足什么规律？</span></mark></p></li><li><p><span>第二次恢复原长的时候，两小球速度是多少？</span>
<span>此时的状态和最开始相同吗？</span>
<mark><span>从 1 状态到此状态满足什么规律？</span></mark></p></li></ol><p>&nbsp;</p><iframe src="https://ggbtool.phycat.cn/front/?id=lqm4l1la138x&W=990&H=566&E=0&B=0&S=0&P=0&R=0&L=0&F=1&RE=1" width="600" height="496" frameborder="0" scrolling="no" allowfullscreen> </iframe><h2 id='滑块-光滑斜面模型'><span>滑块-光滑斜面模型</span></h2><p><strong><span>演示程序中的斜面为四分之一圆弧面，利用演示程序，在 </span><mjx-container class="MathJax" jax="SVG" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="7.381ex" height="1.731ex" role="img" focusable="false" viewBox="0 -683 3262.6 765" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.186ex;"><defs><path id="MJX-12-TEX-I-1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 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xlink:href="#MJX-12-TEX-N-3D"></use></g><g data-mml-node="mi" transform="translate(2211.6,0)"><use data-c="1D440" xlink:href="#MJX-12-TEX-I-1D440"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>M</mi></math></mjx-assistive-mml></mjx-container><script type="math/tex">m=M</script><span>、</span><mjx-container class="MathJax" jax="SVG" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="7.381ex" height="1.636ex" role="img" focusable="false" viewBox="0 -683 3262.6 723" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.09ex;"><defs><path id="MJX-13-TEX-I-1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path><path id="MJX-13-TEX-N-3C" d="M694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19Z"></path><path id="MJX-13-TEX-I-1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 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364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path><path id="MJX-14-TEX-N-3E" d="M84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520Z"></path><path id="MJX-14-TEX-I-1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 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data-mml-node="math"><g data-mml-node="mi"><use data-c="1D45A" xlink:href="#MJX-14-TEX-I-1D45A"></use></g><g data-mml-node="mo" transform="translate(1155.8,0)"><use data-c="3E" xlink:href="#MJX-14-TEX-N-3E"></use></g><g data-mml-node="mi" transform="translate(2211.6,0)"><use data-c="1D440" xlink:href="#MJX-14-TEX-I-1D440"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>&gt;</mo><mi>M</mi></math></mjx-assistive-mml></mjx-container><script type="math/tex">m>M</script><span> 时，分析下面的问题：</span></strong></p><ol start='' ><li><p><span>开始爬坡时，小球和斜面的对地运动方向是怎样的？从受力分析为什么是这样？</span>
<span>小球相对于斜面的运动方向是怎样的？</span>
<span>爬坡过程中，斜面的支持力是否对小球做功？小球的对地速度方向与支持力垂直吗？</span></p></li><li><p><span>小球爬到斜面最高点的时候，相对于斜面的速度是多少？说明此时小球和斜面的对地速度有什么特点？</span></p><p><mark><span>从 1 状态到此状态满足什么规律？</span></mark></p></li><li><p><span>小球往下爬坡直到回到地面过程中，小球水平方向速度和斜面水平方向速度是怎样变化的？</span></p><p><mark><span>从 1 状态到此状态满足什么规律？</span></mark></p><p><span>当小球回到地面，小球的运动方向如何？与什么因素有关？</span></p></li></ol><iframe src="https://ggbtool.phycat.cn/front/?id=lqm4kpyc4lv&W=865&H=610&E=0&B=0&S=0&P=0&R=0&L=0&F=1&RE=1" width="600" height="610" frameborder="0" scrolling="no" allowfullscreen> </iframe><p>&nbsp;</p></div></div>

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